If `f(x)=x^3+a x^2+b x+c` has a maximum at `x=-1` and minimum at `x=3` . Determine `a ,\ b` and `c` .

If f(x)=x^(3)+ax^(2)+bx+c has a maximum at x=-1 and minimum at x=3 Determine a,b and c.

If f(x) = x^(3) + a x^(2) + b x + c has a maximum at x = -1 and minimum at x = 3. Find a + b.

If f(x)=x^(3)+ax^(2)+bx+c is minimum at x=3 and maximum at x=-1, then

If f(x)=x^(3)+ax^(2)+bx+c is minimum at x=3 and maximum at x=-1, then-

f has a local maximum at x = a and local minimum at x = b. Then -

Let f(x)=x^3+3x^2-9x+2 . Then, f(x) has a maximum at x=1 (b) a minimum at x=1 (c) neither a maximum nor a minimum at x=-3 (d) none of these

Let f(x)=x^(3)+3x^(2)-9x+2. Then,f(x) has a maximum at x=1 (b) a minimum at x=1( c) neither a maximum nor a minimum at x=-3(d) none of these

If f(x) =X^(3) + ax^(2) +bx +c has extreme values at x=-1 and x=3 . Find a,b,c.

Which one of the following statements is correct in respect of the function f(x)=x^(3)sin x?(a) It has local maximum at x=0. (b) It has local minimum at x=0. (c) It has neither maximum nor minimum at x=0.( d) It has maximum value 1.